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Bibliographic Details
Main Authors: Shankar, Ravi, Yuan, Yu
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2305.12587
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Table of Contents:
  • We derive a priori interior Hessian estimates and interior regularity for the $σ_2$ equation in dimension four. Our method provides respectively a new proof for the corresponding three dimensional results and a Hessian estimate for smooth solutions satisfying a dynamic semi-convexity condition in higher $n\ge 5$ dimensions.